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Finding the Fourth Proportional to 1,983.69, 2,975.78 and 597.07

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Solution

The fourth proportional to 1,983.69, 2,975.78 and 597.07 is: 895.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.69 : 2,975.78 = 597.07 : x
  2. Step 2: Convert to fraction form
    1,983.69/2,975.78 = 597.07/x
  3. Step 3: Cross multiply
    1,983.69x = 2,975.78 × 597.07
  4. Step 4: Simplify right side
    1,983.69x = 1,776,734.09
  5. Step 5: Solve for x
    x = 1,776,734.09/1,983.69
  6. Step 6: Final answer
    x = 895.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.